GCD of 832, 868, 494 Calculator

Given Input numbers are 832, 868, 494

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Greatest Common Divisior

We found the divisors of 832, 868, 494 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 832, 868, 494 is 2.

Therefore, GCD of numbers 832, 868, 494 is 2

Given Input Data is 832, 868, 494

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 868 is 2 x 2 x 7 x 31

Prime Factorization of 494 is 2 x 13 x 19

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(832, 868) = 180544

GCD(832, 868) = ( 832 x 868 ) / 180544

GCD(832, 868) = 722176 / 180544

GCD(832, 868) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 494

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(4, 494) = 988

GCD(4, 494) = ( 4 x 494 ) / 988

GCD(4, 494) = 1976 / 988

GCD(4, 494) = 2

GCD of 832, 868, 494 is 2

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1. What is the GCD of 832, 868, 494?

GCD of 832, 868, 494 is 2

2. Where do I get the detailed procedure to find GCD of 832, 868, 494?

You can find a detailed procedure to find GCD of 832, 868, 494 on our page.

3. How to find GCD of 832, 868, 494 on a calculator?

You can find the GCD of 832, 868, 494 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.